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Finding the Fourth Proportional to 824.76, 1,138.20 and 647.94

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Solution

The fourth proportional to 824.76, 1,138.20 and 647.94 is: 894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.76 : 1,138.20 = 647.94 : x
  2. Step 2: Convert to fraction form
    824.76/1,138.20 = 647.94/x
  3. Step 3: Cross multiply
    824.76x = 1,138.20 × 647.94
  4. Step 4: Simplify right side
    824.76x = 737,485.31
  5. Step 5: Solve for x
    x = 737,485.31/824.76
  6. Step 6: Final answer
    x = 894.18

Related Problems

Find fourth proportional to 412.38, 569.10 and 323.97
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.